Finding the Third Proportional to 87,768 and 179,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,768 : 179,689.50 = 179,689.50 : x
2. Step 2: Convert to fraction form
   87,768/179,689.50 = 179,689.50/x
3. Step 3: Cross multiply
   87,768x = 179,689.50 × 179,689.50
4. Step 4: Simplify right side
   87,768x = 32,288,316,410.25
5. Step 5: Solve for x
   x = 32,288,316,410.25/87,768
6. Step 6: Final answer
   x = 367,882.56